Adam pays $36 for 3 marbles and 2 stickers.
6 marbles cost as much as 2 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 3 stickers and 2 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 6 marbles = Cost of 2 stickers
Cost of 3 marbles = Cost of 1 sticker
Cost of 1 marble = 1 u
Cost of 1 sticker = 3 u
Cost of 3 marbles
= 3 x 1 u
= 3 u
Cost of 2 stickers
= 2 x 3 u
= 6 u
Total cost of 3 marbles and 2 stickers
= 3 u + 6 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Cost of 1 marble = 1 u = $4
(b)
Cost of 1 sticker
= 3 u
= 3 x 4
= $12
(c)
Cost of 3 stickers and 2 marbles
= 3 x 3 u + 2 x 1 u
= 9 u + 2 u
= 11 u
= 11 x 4
= $44
Answer(s): (a) $4; (b) $12; (c) $44
